What is the Greatest Common Factor of 47728 and 47747?

Greatest common factor (GCF) of 47728 and 47747 is 19.

GCF(47728,47747) = 19

We will now calculate the prime factors of 47728 and 47747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47728 and 47747.

How to find the GCF of 47728 and 47747?

We will first find the prime factorization of 47728 and 47747. After we will calculate the factors of 47728 and 47747 and find the biggest common factor number .

Step-1: Prime Factorization of 47728

Prime factors of 47728 are 2, 19, 157. Prime factorization of 47728 in exponential form is:

47728 = 2⁴ × 19¹ × 157¹

Step-2: Prime Factorization of 47747

Prime factors of 47747 are 7, 19, 359. Prime factorization of 47747 in exponential form is:

47747 = 7¹ × 19¹ × 359¹

Step-3: Factors of 47728

List of positive integer factors of 47728 that divides 47728 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 157, 304, 314, 628, 1256, 2512, 2983, 5966, 11932, 23864

Step-4: Factors of 47747

List of positive integer factors of 47747 that divides 47728 without a remainder.

1, 7, 19, 133, 359, 2513, 6821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47728 and 47747. The biggest common factor number is the GCF number.
So the greatest common factor 47728 and 47747 is 19.

Also check out the Least Common Multiple of 47728 and 47747